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Kinematical superalgebras and Lie algebras of order 3

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arxiv 0801.2630 v1 pith:2OG3NABB submitted 2008-01-17 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords algebrasorderkinematicalsuperalgebrasthreealgebraappearclassify
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We study and classify kinematical algebras which appear in the framework of Lie superalgebras or Lie algebras of order three. All these algebras are related through generalised Inon\"u-Wigner contractions from either the orthosymplectic superalgebra or the de Sitter Lie algebra of order three.

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  1. Kinematical superspaces

    hep-th 2019-08 accept novelty 7.0 of 10

    A complete classification of N=1, d=4 kinematical and aristotelian Lie superalgebras and their homogeneous superspaces, without assuming parity or time-reversal invariance.

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